8x - 3y = 38
3x - 2y = -1
8x = 38 + 3y
3x = -1 + 2y
5x = 39 + y
2x = 40 - y
x = 20 - 0.5y
Substutute x with 20 - 0.5y because x = 20 - 0.5y
3x = -1 + 2y
3 × (20 - 0.5y) = -1 + 2y
60 - 1.5y = -1 + 2y | +1
60 - 1.5y + 1 = 2y
61 - 1.5y = 2y | +1.5 y
61 = 3.5y
y = 122/7
Substitute y with 122/7 because y =122/7
x = 20 - 0.5y
x = 20 - 0.5 × 122/7
x = 20 - 61/7
x = (140-61)/7
x = 79/7
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Solution
x = 79/7
y = 122/7